This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define mp make_pair
#define eb emplace_back
#define F first
#define S second
using namespace std;
typedef pair<int, int> pii;
typedef long long LL;
const LL mod=1e9+7;
struct UNION_FIND{
int par[2000010], sz;
UNION_FIND(){for(int i=1; i<=2000000; i++)par[i]=i;}
int findpar(int num){return num==par[num]?num:par[num]=findpar(par[num]);}
void mergepar(int a, int b){
a=findpar(a); b=findpar(b);
if(a==b)return;
par[a]=b;
sz--;
}
}uf;
int n;
pii arr[1000010];
int stk1[1000010][25], stk2[1000010][25];
int re1[4000010], re2[4000010];
void con1(int point, int lv, int s, int e, int a, int b, int to){
if(e<a||s>b)return;
if(a<=s&&e<=b){
if(!re1[point])return;
for(int i=1; i<=re1[point]; i++)uf.mergepar(stk1[s+i-1][lv], to);
re1[point]=1;
return;
}
con1(point*2, lv+1, s, (s+e)/2, a, b, to);
con1(point*2+1, lv+1, (s+e)/2+1, e, a, b, to);
}
void con2(int point, int lv, int s, int e, int a, int b, int to){
if(e<a||s>b)return;
if(a<=s&&e<=b){
if(!re2[point])return;
for(int i=1; i<=re2[point]; i++)uf.mergepar(stk2[s+i-1][lv], to);
re2[point]=1;
return;
}
con2(point*2, lv+1, s, (s+e)/2, a, b, to);
con2(point*2+1, lv+1, (s+e)/2+1, e, a, b, to);
}
void upd1(int point, int lv, int s, int e, int num, int val){
stk1[s+re1[point]][lv]=val;
re1[point]++;
if(s==e)return;
if(num<=(s+e)/2)upd1(point*2, lv+1, s, (s+e)/2, num, val);
else upd1(point*2+1, lv+1, (s+e)/2+1, e, num, val);
}
void upd2(int point, int lv, int s, int e, int num, int val){
stk2[s+re2[point]][lv]=val;
re2[point]++;
if(s==e)return;
if(num<=(s+e)/2)upd2(point*2, lv+1, s, (s+e)/2, num, val);
else upd2(point*2+1, lv+1, (s+e)/2+1, e, num, val);
}
inline int readChar();
template<class T=int> inline T readInt();
static const int buf_size=4096;
inline int getChar() {
static char buf[buf_size];
static int len=0, pos=0;
if(pos==len)pos=0, len=fread(buf, 1, buf_size, stdin);
if(pos==len)return -1;
return buf[pos++];
}
inline int readChar() {
int c=getChar();
while(c<=32)c=getChar();
return c;
}
template <class T>
inline T readInt() {
int s=1, c=readChar();
T x=0;
if(c=='-')s=-1, c=getChar();
while('0'<=c&&c<='9')x=x*10+c-'0', c=getChar();
return s==1?x:-x;
}
LL ans=1;
vector<int> id;
int main(){
//scanf("%d", &n);
n=readInt();
uf.sz=2*n;
for(int i=1; i<=n; i++){
arr[i].F=readInt();
arr[i].S=readInt();
id.eb(arr[i].S);
//scanf("%d %d", &arr[i].F, &arr[i].S);
}
sort(id.begin(), id.end());
id.erase(unique(id.begin(), id.end()), id.end());
sort(arr+1, arr+n+1);
for(int i=1; i<=n; i++){
int e=lower_bound(id.begin(), id.end(), arr[i].S)-id.begin()+1;
int s=upper_bound(id.begin(), id.end(), arr[i].F)-id.begin()+1;
con1(1, 0, 1, n, s, e, i+n);
con2(1, 0, 1, n, s, e, i);
upd1(1, 0, 1, n, e, i);
upd2(1, 0, 1, n, e, i+n);
}
for(int i=1; i<=n; i++){
if(uf.findpar(i)==uf.findpar(i+n))return !printf("0");
}
for(int i=1; i<=uf.sz/2; i++)ans=ans*2%mod;
printf("%lld", ans);
}
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